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SUMMARY:Topology of definite fold singularities - Osamu Saeki (Kyushu)
DTSTART:20120306T150000Z
DTEND:20120306T160000Z
UID:TALK35164@talks.cam.ac.uk
CONTACT:Dr Andras Juhasz
DESCRIPTION:It is known as the Reeb theorem that if a closed differentiabl
 e manifold admits a smooth function with only minima and maxima as its cri
 tical points\, then the manifold is necessarily homeomorphic to the sphere
 . In this talk some generalizations of this theorem will be presented for 
 smooth maps into higher dimensional Euclidean spaces. Unlike the function 
 case\,\nthe existence of such maps strongly affects the differentiable str
 ucture of the manifold\, especially in dimension four.
LOCATION:MR15
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